Cast bullets for BCPR or pistols don't need to be quenched. Quenching works on alloys with antimony. With a tin lead alloy you should not see any softening or hardening of the alloy over time. I cast 100's in advance sort them by weight they can sit for up to three months or more then I size, lube and use them.
Quenching only hardens a thin surface layer of the lead bullet.
I've not heard this before. Can you provide any reference or explanation as to why it would be the case?